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Finding the Fourth Proportional to 736,874, 1,016,886.12 and 418,922

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Solution

The fourth proportional to 736,874, 1,016,886.12 and 418,922 is: 578,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,874 : 1,016,886.12 = 418,922 : x
  2. Step 2: Convert to fraction form
    736,874/1,016,886.12 = 418,922/x
  3. Step 3: Cross multiply
    736,874x = 1,016,886.12 × 418,922
  4. Step 4: Simplify right side
    736,874x = 425,995,967,162.64
  5. Step 5: Solve for x
    x = 425,995,967,162.64/736,874
  6. Step 6: Final answer
    x = 578,112.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.